Evaluate the Expression: Expanding (6×b)⁴

Question

Insert the corresponding expression:

$\left(6\times b\right)^4=$

00:00 Simplify the following problem

00:03 In order to open parentheses with a multiplication operation and an outside exponent

00:07 We raise each factor to the power

00:13 We will apply this formula to our exercise

00:19 This is the solution

The problem requires us to simplify $(6 \times b)^4$ .

Step 1: Recognize that $(6 \times b)$ is a product of two factors $6$ and $b$ .
Step 2: Apply the Power of a Product Rule, which states that $(ab)^n = a^n \times b^n$ .

Let's apply this rule to $(6 \times b)^4$ :
Using the rule, we distribute the exponent $4$ to each component of the product:

(6 \times b)^4 = 6^4 \times b^4

Thus, the expression simplifies to $6^4 \times b^4$ .

Therefore, the simplified expression is:

$6^4 \times b^4$ .

$6^4\times b^4$